GCD of 118, 488, 306, 360 Calculator

Given Input numbers are 118, 488, 306, 360

In the factoring method, we have to find the divisors of all numbers

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (118, 488, 306, 360) = 2.

Given numbers are 118, 488, 306, 360

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 118, 488, 306, 360 is 2.

Given numbers are 118, 488, 306, 360

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(118, 488) = 28792

GCD(118, 488) = ( 118 x 488 ) / 28792

= 118 / 488

= 118

Step2:

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

= 2 / 306

= 2

Step3:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

So, Greatest Common Divisor of 118, 488, 306, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 100, 968, 251
• GCD of 274, 929, 132, 852
• GCD of 670, 284, 920, 318
• GCD of 224, 756, 153, 375
• GCD of 207, 299, 434, 633

Given numbers are 118, 488, 306, 360
The greatest common divisor of numbers 118, 488, 306, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 488, 306, 360 is 2.

1. What is the GCD of 118, 488, 306, 360?

GCD of given numbers 118, 488, 306, 360 is 2

2. How to calculate the greatest common divisor of 118, 488, 306, 360?

We can find the highest common divisor of 118, 488, 306, 360 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 118, 488, 306, 360 i.e 2.

3. How can I use the GCD of 118, 488, 306, 360Calculator?

Out the numbers 118, 488, 306, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.